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Finding the Fourth Proportional to 393,022.80, 588,173.40 and 235,364.40

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Solution

The fourth proportional to 393,022.80, 588,173.40 and 235,364.40 is: 352,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,022.80 : 588,173.40 = 235,364.40 : x
  2. Step 2: Convert to fraction form
    393,022.80/588,173.40 = 235,364.40/x
  3. Step 3: Cross multiply
    393,022.80x = 588,173.40 × 235,364.40
  4. Step 4: Simplify right side
    393,022.80x = 138,435,079,386.96
  5. Step 5: Solve for x
    x = 138,435,079,386.96/393,022.80
  6. Step 6: Final answer
    x = 352,231.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.